826665222566628 has 36 divisors (see below), whose sum is σ = 2110315345406268. Its totient is φ = 272826806126400.

The previous prime is 826665222566587. The next prime is 826665222566657.

826665222566628 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 502323204354624 + 324342018212004 = 22412568^2 + 18009498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×826665222566628² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113677832251 + ... + 113677839522.

Almost surely, 2^{826665222566628} is an apocalyptic number.

It is an amenable number.

826665222566628 is an abundant number, since it is smaller than the sum of its proper divisors (1283650122839640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

826665222566628 is a wasteful number, since it uses less digits than its factorization.

826665222566628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227355671884 (or 227355671879 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 826665222566628 in words is "eight hundred twenty-six trillion, six hundred sixty-five billion, two hundred twenty-two million, five hundred sixty-six thousand, six hundred twenty-eight".